On the other hand equation (REF ) is a particular case of the \(_{1}D_{4}\)  equation from [1]}, [2]}, [3]}, [4]}
\(\delta _{1}\big (F_{n}^{\left(-\right)}v_{n,m}v_{n,m+1}+F_{n}^{\left(+\right)}v_{n+1,m}v_{n+1,m+1}\big ) +\delta _{2}\big (F_{m}^{(-)}v_{n,m}v_{n+1,m}+F_{m}^{(+)}v_{n,m+1}v_{n+1,m+1}\big )\nonumber \\\qquad {} +v_{n,m}v_{n+1,m+1}+v_{n+1,m}v_{n,m+1}+\delta _{3}=0, \) 
